The 3-D Hopf bifurcation in bio-reactor when one competitor produces a toxin

DOI10.1016/J.NONRWA.2005.10.006zbMath1116.34041OpenAlexW2056480306MaRDI QIDQ867967

Edward H. C. Chang, Xun-Cheng Huang, Le-Min Zhu

Publication date: 19 February 2007

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2005.10.006

zbMATH Keywords

limit cyclechemostattoxin

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (3)

Analysis of a chemostat model with variable yield coefficient: Tessier kinetics ⋮ Multiple coexistence solutions to the unstirred chemostat model with plasmid and toxin ⋮ Limit cycles in chemostat with constant yields

Cites Work

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• Relative positions of limit cycles in the continuous culture vessel with variable yield
• Hopf bifurcations for a variable yield continuous fermentation model
• Competition in the chemostat when one competitor produces a toxin
• Multiple limit cycles in the chemostat with variable yield
• Global analysis of a model of plasmid-bearing, plasmid-free competition in a chemostat with inhibitions
• Analysis of a Model of Two Competitors in a Chemostat with an External Inhibitor
• The Theory of the Chemostat

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